partunits. As [ UTD 3x 2-1247-|| 2 27-3441020 12 -3x-12y=-11
2x-3y+10=0
draw the graph ..
Answers
Step-by-step explanation:
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Answer:
if a person travels at the speed of 30 km/h, then he reaches his destination 10 minutes late, while traveling at the speed of 42 km/h, he reaches his destination 10 minutes before.
To find:-
The distance traveled by a person..
Solution:-
Let the actual time taken to reach the destination by man be x
Case 1: If speed of man, u=30 km/h
He reaches his destination 10 minute late..
\sf \pink{Example:}Example: Distance between man & destination point, S=speed of man × Time taken..
Main Point:-
10 min=\dfrac{10}{60}
60
10
=\dfrac{1}{6}
6
1
So,
S=30×(Time+\dfrac{1}{6})
6
1
) . [\sf \pink{Step 1:}]Step1:]
Case 2: If speed of man v=42km/h, he reaches his destination 10 minutes early..
\sf \pink{Example:}Example: Distance between man & destination point, S=speed of man × Time taken..
=42×(Time-\dfrac{1}{6})
6
1
) km [\sf \pink{Step 2:}]Step2:]
Now, from equations (1) & (2),
30(Time+\dfrac{1}{6})
6
1
) =42(Time-\dfrac{1}{6})
6
1
)
Therefore 10 T+\dfrac{10}{6}
6
10
=14 T-\dfrac{14}{6}
6
14
Therefore \dfrac{10}{6}
6
10
+\dfrac{14}{6}
6
14
=14 T-10 T
Therefore \dfrac{24}{6}
6
24
=4 T
Or Time= 1 hour..
By putting T in \sf \pink{Step 1}Step1
S=30(1+\dfrac{1}{6})
6
1
) =30×\dfrac{7}{6}
6
7
=35 km
________________
Hence, the distance traveled is 35 km..